how to write y=x^2 when is stretched vertically by a factor of 2, reflected across the x -axis, and then translated left 4 units, and up 3 units

Question

graph shifts 

Answer 1

Stretch vertically by a factor of 2:  y = 2x²

 

Then, reflect across the x-axis:  y = -2x²

 

Then, translate four units leftward:  y = -2(x+4)²

 

Then, translate three units upward:  y = -2(x+4)² + 3